What is the Greatest Common Factor of 33277 and 33288?

Greatest common factor (GCF) of 33277 and 33288 is 1.

GCF(33277,33288) = 1

We will now calculate the prime factors of 33277 and 33288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33277 and 33288.

How to find the GCF of 33277 and 33288?

We will first find the prime factorization of 33277 and 33288. After we will calculate the factors of 33277 and 33288 and find the biggest common factor number .

Step-1: Prime Factorization of 33277

Prime factors of 33277 are 107, 311. Prime factorization of 33277 in exponential form is:

33277 = 107¹ × 311¹

Step-2: Prime Factorization of 33288

Prime factors of 33288 are 2, 3, 19, 73. Prime factorization of 33288 in exponential form is:

33288 = 2³ × 3¹ × 19¹ × 73¹

Step-3: Factors of 33277

List of positive integer factors of 33277 that divides 33277 without a remainder.

1, 107, 311

Step-4: Factors of 33288

List of positive integer factors of 33288 that divides 33277 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 73, 76, 114, 146, 152, 219, 228, 292, 438, 456, 584, 876, 1387, 1752, 2774, 4161, 5548, 8322, 11096, 16644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33277 and 33288. The biggest common factor number is the GCF number.
So the greatest common factor 33277 and 33288 is 1.

Also check out the Least Common Multiple of 33277 and 33288